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Finding the Third Proportional to 212,916 and 319,380

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Solution

The third proportional to 212,916 and 319,380 is: 479,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,916 : 319,380 = 319,380 : x
  2. Step 2: Convert to fraction form
    212,916/319,380 = 319,380/x
  3. Step 3: Cross multiply
    212,916x = 319,380 × 319,380
  4. Step 4: Simplify right side
    212,916x = 102,003,584,400
  5. Step 5: Solve for x
    x = 102,003,584,400/212,916
  6. Step 6: Final answer
    x = 479,079.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.